What is the Greatest Common Factor of 22545 and 22560?

Greatest common factor (GCF) of 22545 and 22560 is 15.

GCF(22545,22560) = 15

We will now calculate the prime factors of 22545 and 22560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22545 and 22560.

How to find the GCF of 22545 and 22560?

We will first find the prime factorization of 22545 and 22560. After we will calculate the factors of 22545 and 22560 and find the biggest common factor number .

Step-1: Prime Factorization of 22545

Prime factors of 22545 are 3, 5, 167. Prime factorization of 22545 in exponential form is:

22545 = 3³ × 5¹ × 167¹

Step-2: Prime Factorization of 22560

Prime factors of 22560 are 2, 3, 5, 47. Prime factorization of 22560 in exponential form is:

22560 = 2⁵ × 3¹ × 5¹ × 47¹

Step-3: Factors of 22545

List of positive integer factors of 22545 that divides 22545 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 167, 501, 835, 1503, 2505, 4509, 7515

Step-4: Factors of 22560

List of positive integer factors of 22560 that divides 22545 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 47, 48, 60, 80, 94, 96, 120, 141, 160, 188, 235, 240, 282, 376, 470, 480, 564, 705, 752, 940, 1128, 1410, 1504, 1880, 2256, 2820, 3760, 4512, 5640, 7520, 11280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22545 and 22560. The biggest common factor number is the GCF number.
So the greatest common factor 22545 and 22560 is 15.

Also check out the Least Common Multiple of 22545 and 22560